Anita Kollwitz

Sebastian Andres, Univ. Manchester: Hölder regularity and local limit theorem for random conductance models with long-range jumps (Oberseminar Mathematische Stochastik)

Wednesday, 18.01.2023 17:00 im Raum SRZ 216

Mathematik und Informatik

In this talk we consider continuous time random walks on $\mathbb{Z}^d$ among random conductances that permit jumps of arbitrary length, where the law of the conductances is assumed to be stationary and ergodic. Under a suitable moment condition we obtain a quenched local limit theorem and Hölder regularity estimates for solutions of the heat equation for the associated non-local discrete operator. Our results apply to random walks on long-range percolation graphs with connectivity exponents larger than 2d when all nearest-neighbour edges are present. This talk is based on a joint work with Martin Slowik (Mannheim).

Angelegt am Tuesday, 27.09.2022 14:37 von Anita Kollwitz
Geändert am Monday, 09.01.2023 11:41 von Anita Kollwitz
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